CMA Intermediate · Operations Management and Strategic Management · Simulation and Line Balancing
A packaging line has task times that total 120 seconds per unit. The cycle time is set at 30 seconds. What is the theoretical minimum number of workstations?
The theoretical minimum number of workstations is 4. It is found by dividing the total task time of 120 seconds by the cycle time of 30 seconds. Any fractional result would be rounded up, but here the division is exact, so four stations are sufficient in theory.
- A3
- B4Correct
- C5
- D6
Explanation
Theoretical minimum stations = total task time / cycle time = 120/30 = 4. Choosing 3 would result from dividing by 40 instead of 30, which is not the given cycle time. Choosing 5 or 6 adds stations without justification.
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